Fit a trend line by the method of least square method to the following data:Year19981999.2000 2001 20022003 2004Sales in (Million)809092839499921Find the slope of a straight-line trend these figures.2Plot the figures on the graph and show the tend line

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Answered: Fit a trend line by the method of least…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following scatter-plot shows the decreasing trend in Motor Vehicle Theft. Interpret (using a sentence) the slope. Motor Vehicle Theft 1,800,000 1,600,000 y = -195,848x + 1,841,017| 1,400,000 1,200,000 1,000,000 800,000 600,000 400,000 200,000 1985 1990 1995 2000 2005 2010 2015 2020 Year Between 1990 and 2104 Motor Vehicle Thefts decrease by a total of 195,848 Between 1990 and 2014 the total number of Motor Vehicle Thefts decreased by 195,848 to a reach a total of 1,841,017 in 2014 Between 1990 and 2014 the total number of Motor Vehicle Thefts was 1,841,017 Between 1990 and 2014 the average yearly decline in Motor Vehicle Deaths was 8,160/ year Between 1990 and 2014 the number of Motor Vehichle Thefts decreased on average by 195,848 per year Number of vehicle thefts
Part c?
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The ordered pairs below give the winning times (in seconds) of a 100-meter freestyle swim race at a regularly-held competition from 1984 through 2012. (1984, 54.22) (2000, 52.13) (1988, 53.23) (2004, 52.14) (1992, 52.94) (2008, 51.42) (1996, 52.80) (2012, 51.30) (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t = 84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (Round the slope and y-intercept to one decimal place.) y = (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (Round the slope and y-intercept to two decimal places.) y =
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The ordered pairs below give the winning times (in seconds) of a 100-meter freestyle swim race at a regularly-held competition from 1984 through 2012. (1984, 55.12) (2000, 53.03) (1988, 54.13) (2004, 53.04) (1992, 53.84) (2008, 52.32) (1996, 53.70) (2012, 52.20) (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t = 84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (Round the slope and y-intercept to one decimal place.) y = (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (Round the slope and y-intercept to two decimal places.) y = (d) Compare the linear model you found in part (b) with the linear model you found in part (c). The models are not similar.The models are similar.
The Coast Starlight Amtrak train runs between Seattle and Los Angeles. The table below contains all distances between stops and the typical travel time for each of those distances. DISTANCE BETWEEN STOPS (miles) TIME TO TRAVEL THIS DISTANCE (minutes) 10 52 32 115 40 55 50 61 49 58 56 32 54 31 61 27 84 176 91 322 102 173 112 124 194 64 235 254 246 372 356 195 What is the equation for the best fit line? What is the meaning of the slope in this context? What is the R2R2for the regression line? The distance between LA and Santa Barbara is 102 miles. Use the linear model to predict how long this trip will take. If the actual trip takes 173 minutes, what is the associated residual?
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Fit a trend line by the method of least square method to the following data: Year 1998 1999. 2000 2001 2002 2003 2004 Sales in (Million) 80 90 92 83 94 99 92 1 Find the slope of a straight-line trend these figures. 2 Plot the figures on the graph and show the tend line